{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ConstructiveSolidGeometry.jl\n",
    "A constructive solid geometry (CSG) and ray tracing package for Julia.\n",
    "\n",
    "This tutorial explains the concepts behind the package as well as its capabilities. For concrete examples of package usage, please explore the other files in the examples directory.\n",
    "\n",
    "## Table of Contents\n",
    "1. Introduction  \n",
    "    1.1. What is Constructive Solid Geometry?  \n",
    "    1.2. What is Ray Tracing?  \n",
    "    1.3. Why a new package?  \n",
    "2. CSG Concepts  \n",
    "    2.1 - CSG Primitives  \n",
    "    2.2 - CSG Halfspaces  \n",
    "    2.3 - Logical Cell  \n",
    "    2.4 - Boundary Conditions  \n",
    "3. Ray Tracing Conepts  \n",
    "4. Package Capabilities  \n",
    "    4.1 - Geometry Building Functionality  \n",
    "    4.2 - Ray Tracing  \n",
    "    4.3 - Examples  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1 - Introduction\n",
    "### 1.1 - What is Constructive Solid Geometry?\n",
    "\n",
    "Fundamental to many fields of computational science is the ability to represent the geometrical structure of an object in a manner that a computer can understand. One high accuracy method that is used in simulation codes is constructive solid geometry (CSG). In CSG, an object is represented exactly by definition of surfaces such as cylinders, spheres, cones, and planes that can each be described by an equation. Complex objects can be made by defining spaces that form the intersection or the union of multiple different surfaces. Below is an example CSG geometry and how it is defined logically out of simpler shapes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "RGBA Images.Image with:\n",
       "  data: 1269×1125 Array{ColorTypes.RGBA{FixedPointNumbers.UFixed{UInt8,8}},2}\n",
       "  properties:\n",
       "    colorspace: RGB\n",
       "    imagedescription: <suppressed>\n",
       "    spatialorder:  x y\n",
       "    pixelspacing:  1 1"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Images\n",
    "load(\"./figures/Csg_tree.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Usage of CSG can be very efficient compared to other methods as only a handful of primitive shapes need to be defined in order to create very complex geometry. This is efficient from a development standpoint, as attempting to come up with a single equation to define the complex shape above would be very difficult. CSG is also efficient compared to unstructured meshing for some purposes, as accurately resolving the above complex shape might require hundreds or thousands of mesh surfaces to define. However, it is important to note that CSG is not always appropriate for all cases, as some physics do not work well with CSG (such as where the geometry may deform, or where the scientific equations require a cartesian grid, or where equations do not work easily on second order surfaces)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.2 - What is Ray Tracing?\n",
    "\n",
    "Many computational methods also perform ray tracing, wherein a virtual ray (having an origin point and a direction) is followed through a CSG geometry to determine where its next intersection point is. In the context of the package developer's field of research, nuclear reactor simulation, CSG and ray tracing are used by the Method of Characteristics, Monte Carlo particle transport, and Collision Probability Method simulation techniques. However, CSG and ray tracing are used by a variety of fields including Characteristic methods in astrophysics and computer generated imaging for animated media. \n",
    "\n",
    "### 1. 3 - Why a new package?\n",
    "\n",
    "In my field of nuclear engineering, development of most new simulation codes or prototyping a new simulation method often involves coding an entire CSG and ray tracing library from scratch. This has become particularly a problem in several Nuclear Engineering classes at MIT, where new students and researchers must create a large amount of their own CSG and ray tracing code before any physics or research gets done. In the classes 22.211 and 22.212 for instance, problem sets involve students each coding their own neutron transport solvers, building them up from the beginning of the semester and progressively adding more physics for each assignment. In the past, students have spent weeks coding up and fixing bugs in their geometry before any physics is done. This package is meant to allow students and researchers to focus on physics rather than geometry.\n",
    "\n",
    "While there are a number of existing libraries in other languages for handling CSG and ray tracing, they are usually graphics oriented, and surprisingly do not always provide certain types of functionality that a scientific simulation requires. They also are usually very heavyweight, with a lot of parameters to describe the many different surface properties and scattering types that are required for graphics operations. For instance, graphics CSG and ray tracing packages place an emphasis on the features (color, albedo, texture, etc) of surfaces, but often assume that the spatial medium itself is of little interest. In nuclear simulation on the other hand, we care very little about the properties of the surfaces but care a great deal about the particular material the ray is passing through, which can be difficult to determine in many existing CSG and ray tracing packages. Graphics based CSG packages are also often very difficult to understand without having taken a class in graphics programming, due to the domain specific jargon such as \"scene\", \"camera\", \"shader\", etc. The net result is that existing packages in other languages are often either difficult to use for scientific programmers or simply not viable, resulting in many scientific programmers choosing to write their own CSG and ray tracing treatment from the ground up.\n",
    "\n",
    "While I hope that this new package may be useful for a wide variety of computational fields, I have only focused on providing the features required for nuclear reactor simulations (Method of Characteristics, Monte Carlo, and Collision Probability Method) as that is my particular expertise and knowledge domain."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 - Constructive Solid Geometry Concepts\n",
    "\n",
    "### 2.1 - CSG Primitives\n",
    "\n",
    "Constructive Solid Geometry techniques work well with any surface that can be defined by an arbitrary order equation. This package however is currently limited to four different types of second order surfaces: **Spheres**, **Planes**, **Cones**, and **Infinite Cylinders**. This package uses the general form of these surfaces, rather than specific versions aligned to a particular axis. In practice, these four second order surfaces can be used to construct very complex geometry, and are often all that is required for nuclear simulations. In the future, more primitives such as ellipsoids may be added.\n",
    "\n",
    "### 2.2 - CSG Halfspaces\n",
    "\n",
    "Any CSG surface can be said to divide all of 3D cartesian space into two halves -- a positive half and a negative half. These spaces are defined by whether the equation of the surface given a point in space is positive or negative. In this section, the halfspace functions for each of the four primitives in this package are defined. The key takeaway from this section from a user standpoint is to understand which sign corresponds to which halfspace for each surface type.\n",
    "\n",
    "#### Sphere\n",
    "\n",
    "For example, take the equation for a sphere:\n",
    "\n",
    "$(x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2 = R^2$\n",
    "\n",
    "Then move all the terms to one side and define a new function to determine the sign of the halfspace:\n",
    "\n",
    "$f(x, y, z) = (x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2 - R^2$\n",
    "\n",
    "The halfspace inside the sphere is ***-***, outside the sphere is ***+***.\n",
    "\n",
    "#### 3D Plane\n",
    "\n",
    "For other surfaces, such as an arbitrary 3D plane, we can follow the same process. In the case of the plane, the halfspace is defined as -1 for points below the normal direction of the plane, and +1 with points above the normal direction of the plane. We find the halfspace equation for an arbitrary 3D Plane, given its surface equation:\n",
    "\n",
    "$Ax + By + Cz = D$\n",
    "\n",
    "of in terms of a point $P$:\n",
    "\n",
    "$N \\cdot P = N \\cdot C$\n",
    "\n",
    "where:\n",
    "\n",
    "$N$ is the plane's normal\n",
    "\n",
    "$P$ is the point we are testing\n",
    "\n",
    "$C$ is a point on the plane\n",
    "\n",
    "This gives us the equation:\n",
    "\n",
    "$f(P) = N \\cdot P - N \\cdot C$\n",
    "\n",
    "It is important to note that a plane may have two valid unit normals that are opposites of each other, but will affect the sign of the halfspace. Keep in mind that the (***+***) side of a plane's halfspace is on the side the normal points to.\n",
    "\n",
    "#### Arbitrary Cone\n",
    "\n",
    "We can find the halfspace of an arbitrary cone by taking its equation:\n",
    "\n",
    "$[(P - C) \\cdot V]^2 - (P - C) \\cdot (P - C) \\cos^2(\\theta) = 0$\n",
    "\n",
    "Where:\n",
    "\n",
    "$P$ is the the point in question $\\{x, y, z\\}$\n",
    "\n",
    "$C$ is the point at the tip of the cone\n",
    "\n",
    "$V$ is the unit direction representing the axis of the cone. As the cone equation actually defines two cones eminating in a mirrored fashion from the tip, this direction vector also indicates which cone is the \"true\" cone, i.e., following the direction of the axis $V$ when starting from $C$ should lead into the cone we actually want.\n",
    "\n",
    "$\\theta$ is the angle between the axis $V$ and the surface of the cone (between 0 and $\\frac{\\pi}{2}$)\n",
    "\n",
    "This gives us a function for the halfspace of:\n",
    "\n",
    "$f(P) = [(P - C) \\cdot V]^2 - (P - C) \\cdot (P - C) \\cos^2(\\theta)$\n",
    "\n",
    "The halfspace inside the cone is ***+***, outside the cone is ***-***.\n",
    "\n",
    "#### Arbitrary Infinite Cylinder\n",
    "\n",
    "And finally, we can find the halfspace of an arbitrary infinite cylinder by taking its equation:\n",
    "\n",
    "$[(P - O) \\times D]^2 = R^2$\n",
    "\n",
    "Where:\n",
    "\n",
    "$P$ is the the point in question $\\{x, y, z\\}$\n",
    "\n",
    "$O$ is a point at the center of the cylinder\n",
    "\n",
    "$D$ is the unit direction of the cylinder (i.e., a point normal to an end cap for the cylinder)\n",
    "\n",
    "$R$ is the radius of the cylinder\n",
    "\n",
    "This gives us a function for the halfspace of:\n",
    "\n",
    "$f(P) = [(P - O) \\times D]^2 - R^2$\n",
    "\n",
    "The halfspace inside the cylinder is ***-***, outside the cylinder is ***+***.\n",
    "\n",
    "### 2.3 - Logical Cell\n",
    "\n",
    "A set of CSG halfspaces can be combined using logical operators to define a bounded volume of space. Operators supported in this package are the intersection operator ^, the union operator |, and the complement operator ~. More information can be found in the \"CSG Logical Operators\" example, but a short example is shown below using logical operators to create a complex shape."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "RGBA Images.Image with:\n",
       "  data: 600×400 Array{ColorTypes.RGBA{FixedPointNumbers.UFixed{UInt8,8}},2}\n",
       "  properties:\n",
       "    colorspace: RGB\n",
       "    imagedescription: <suppressed>\n",
       "    spatialorder:  x y\n",
       "    pixelspacing:  1 1"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "load(\"./figures/circle_cancel.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot above represents the cell (in black) of two circles defined by the following logical construction. The halfspace inside the circle on the left is \"1\", the halfspace inside the circle on the right is \"2\".\n",
    "\n",
    "~(1 ^ 2) ^ (1 | 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4 - Boundary Conditions\n",
    "In many simulations a variety of boundary conditions are used. This package supports reflective, vacuum, and transmission boundary conditions. Reflective boundaries reflect the ray when it contacts them. Transmission conditions (default) will simply let the ray pass through the boundary. Vacuum boundaries behave similarly to transmission, but are present so as to alert the user when a vacuum condition is encountered. This is done as the user may wish to terminate the ray, or enforce some other condition whenever a vacuum is encountered.\n",
    "\n",
    "Currently, reflective boundary condtions can only be applied to the Plane surface type, though reflective conditions for more surfaces may be added in the future."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3 - Ray Tracing Concepts\n",
    "Once a CSG geometry is established, many simulation techniques perform ray tracing within the geometry. One way to visualize this is for the case of Monte Carlo particle simulation. Here, a particle moves through the geometry of the problem, travelling between the different material regions and occasionally changing direction before being absorbed or escaping. While the physics will be determined by the application developer, this ray tracing package  provides an API for the developer to keep track of the particle's location as it travels through the geometry. A common task that the application developer will perform is to use the ray tracing package to determine what cell the particle is in and how far it will travel before exiting the cell. The ray tracer is also responsible for enforcing reflective boundary conditions and allowing the developer to know when a boundary is encountered.\n",
    "\n",
    "Below is an image representing the random walk of a particle from the \"Monte Carlo Particle Simulation\" example problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7Vg2TOrmMNGHoHWiNSk18/Lg1yxl4lCO1UeujQlP6gT4tPFVi4fnQ2RytksNy9VJzrzTvavNc1cqVSbMCdrDS3DoumxWoUoGwI63ysEzsPr4JlevSKI9EQ3la5jwaldKQn4b+ZBrPkwO1W+ujHCuN++kWvyoslLBR1aqiaInu+h6p3wrnQZ7nmCUqohOvWgE7WFVL5gOsQDoVCDvPdJau8lI1w5Fqr3TlylK30/UVub3USuhQvcHrn0GTohYHOVCbtT7quX6kL0YLz5WiOFrno92MsEuMGjopK9CZAnawOlPI71uBlCsQdpYpL+ZkxSvnvEy2U4Ub5JfUYpq2VK21V+7JHC8l/gE8ABrWU0RKDtVIkE0NS8MqMAAUodLr6aBBFp47eXa05M9eAVp2ooHSNqgFnU2aFbCDlebWcdmsQAcKhJ1jB7uk5q32nJKOClir09RRmqXvVZNHR87Yz4SfhnQZwrIIwwhOvYQf9WLL4+ctS1qS6yyg2/i2AkWkhCJVKfkG1rmUVydLztWPsA/YrEAjFUjJx7uRVXZeViD7CmTFuarGsarG2WlGC04q33dk/yq8FPRrdaReJjz1Q+uaCD2CHgSjlidisl/L42+5rW/BLxcMpni0yglTDa5keE7lydGSY6Xhwd4wd4P1dHZWwA6WzwErkCEFwk4wrUWuxKGa5KiktRbRcn3Ki3CiVPj4Ftt0i1+34PKW2/YUjtJynfp1vvWCEcHMPE5uUW0mG06cfPembdE5lhcn66+oOBoOapqazrjICtjBKnLru+6ZUiCNzlXUaWhPzGw4VHKYRkDoRL3U+vzD1mpNz+OysB4cApowpTURNJGqrZWrb+nwYqluaXO4wnMty46WNNfSDBvCUm2byK+sQEMUsIPVEJmdiRWoXYGws6s9hfiPLHUQSnMo52SU7pOO1yMpxl7wd9CAkmwukAPVp/VRESqtoFT7EF+oR6mjRaItFuqZRkcrq07WP1FWbvIjEyT2fyvQcAXsYDVccmdoBSpXIE3OVegEtFf60Ilo7/10bR9FcU6Bq0A38Gv2+U4gZ0oOVjJWqlGpwxXVOC3OVngOZs3ROosmXAbWTaYpnaoV6FQBO1idSuQdrEDjFQg7tcbnPHmO0U4/+m6psxB9L73PNSNHjtWVMAOcDHtDc27gj2qYdmdL52RWnCyt2fogXAdRjXlpswINU8AOVsOkdkZWoDIF0uJctedYqRbZ67Q+otSnwWUwLRwHunFfTlY6LNS01NFS6cK2aHZUKzw30+5onYNm88C2Es9mBZqkgB2sJgnvbK1AqQJh51W6vZGvw468XJ6hA1DuvfRu0y8jnw6XwlRwFOwPGhZMp0V1LnW2wvZJg6OVVifrY5r1ejgRyvwsYzob3aXKpQJ2sHLZrK6UFahegbDzLj0y2uGXvpfe11pe4Uy4CLrD4XAAzAzZsVD7NDpaaR0yvJjmlWPVLzvN7JLmVAE7WDltWFcrOwo0M3KVL6dKbf456Ob8C0DuiVZAErNCdi2tjlbanCwtAXsJ7AbZcqWze2665O0rYAerfW38jhVIXIFmOVf5c6y+pK0080brdv8C+8HBMDvkx0JHSzWKRrXC9mzG0GF4DqdhyPBadPkKFKu0WYFmK2AHq9kt4PwLq0DYMTVagLAzjuYb7bij29P//GuKeB7IufoJdEfgoTAn5NvUZlEnS7VV2zbDyVLeOp+b6WTJrT4XtOBGD7BZgWYrYAer2S3g/AungB2rOJr8fyRyAWg4cCwMAM2zSm4NKxJPnYWOcdTRijrQjXa2mulk3UPrDIcbUtdKLlBRFbCDVdSWd72bokAznKtohxtWOuyYw9fZefyWomriuiaw63l/OAJ0U35xLWzPqKMlNcK2b6Sj1SwnS672GrCSKm6zAilQwA5WChrBRSiGAnau6mnncPryGSSiYcHd4Uj4NdhCBTpytPLsZD2LAE/BXaEQfrQCKVDADlYKGsFFyL8CjXauwshFVNmw841uS//z7yniQNAioV/AriDHagGwtadA2NbRiFZ4TjTK0WpkJEvRq0Vh0/YE8XYr0AQF7GA1QXRnWSwFGulchZ1oVOGws41uS/9zzau6HE4FrWnVB46GBcFWqQJh25c6Wo10slTWJCe/v0v6d4DWv6r957g52GYFYlbA52PMgjo5KxBVwM5VVI1Knv/ATlrJaBE4EDaAN+EqsHOFCDVZ6GiFB5dzxMP3svaoe0hngZ2zVnCXN/cK2MHKfRO7gs1SoFHOlTrL0g5THWppp9osHSrL90d20+8EaqBHvxG4FgyDQSBny1avAqXnRLnzpt482jten4UkPg9a/exq0OIc+oVJmxVIkwJ2sNLUGi5LLhRIqjMpJ072HSutXaXo1GKwJ6wGr8P1oG22uBUodbwb7WjFWR+55D+DHCybFUibAp6DlbYWcXmsQIUKlHOuKjw0BbupW7wBTgDNotHykPfBUmBLWgE5WdF5WcpP51Mj5mbpAiSOOVmKeWoltJ0g/8vKUklb5hRwBCtzTeYCp1mBJIZBSutbLuJQGpUoPSY9r3+hKIpO/Qb6wjLwEtwKdq4QoWFWOmSojEud9qQKE8fn5CYK9xEclFQhna4VqFMBO1h1CujDrYAUUIcRR6fRmZqlHWC5TrKzNJrzvhyrm0FOlGIOS8AQuBOWBVuzFCh1zkvPsaTKVc/nRdE3Lc2wCSyZVAGdrhWoUwE7WHUK6MOtQKMUKO34SjvGRpWjunzGsbuiU4pUbQ8LwnOgHzbpCbY0KFB6LulcKz3f0lDOsAyP8ORVOCTc4EcrkEIF7GClsFFcpGwpUM+VeCU1LdfZlXaIlaTT2H0UY1B0ajnYBrTi+jPwAKwItrQpoHOq9LxK2snSZ6eWz4+iV3LP10ybiC6PFYgoYAcrIoafWoFqFailc6gmj9IOrlwnWE16ye8rx0rRqV7wZ5gDnoCHYRWwpV2BRjtZ0qOaz9Er7P83OFjHgc0KpFUBO1hpbRmXK/UKVNMpxFGZdHcmcqwUnVoJNocZ4DH4O6wOtiwpUHqulTr6zazLOWQ+H2zdzEI4bytQgQJ2sCoQybtYgVIFknauSocFSzu80vI077UcK0WnVgVNOZ4K5FQ9Bh7AQYTMms656HmXtJNVyWfqQ8p0I+wP3cFmBdKsgB2sNLeOy5ZKBSrpCOopeGlHFu3k6kk33mPlWIXRqQ1bk5ajpeHAdSCdpW4tqB+qUCDakqWOfxXJVLRrZ5+tC0llati9otS8kxVorgJ2sJqrv3PPmAKddQD1VicbztXjVHMtWA+03KOGBjWBfX2Idse8tOVCgUa2anufsW9RciD0g5lyoaorkXcF7GDlvYVdv8woEHWu1KE1slOrTKQn2W1dWAu+AU1m15ILG0H6SkuhbDEqEG3hZkSy9JuDOuv2i7FOTsoKJKmAHawk1XXauVKgvSvreitZ2llFO7J6047n+DA6tQbJfQZafkGLhG4K6SsthbIlpEBpa0cvCuLOMvp5+4XEz4NtYf64M3J6ViAhBexgJSSsk82XAtEv+yRrVtqBJZlX52k/zy4bw+9A04u1YOiL8CdIV0kpkK1BCpS2fJJOVlglufQjQEsz2KxAVhSwg5WVlnI5m6ZAks5VtHMq7biaVuFgKFkrOqUlF9St6SdutPqQfpDZXxmIUHgrPVej53Gc4uizp9spjgQt9tEzzsSdlhVIWAF/WyYssJPPtgJJOVfqkKKdUmmH1RzVXibbLaAX/Af0o8yvgQZm/FWBCLaIAqXnbPR8juxW99MpmPr3NqlsX3dKTsAKNFYBf2s2Vm/nZgUmU6C0o5psh8Q3yInSso36WRtFqq6FN6A3dAWbFSivQEPO3bPIm98GH1C+CN5qBVKrgB2s1DaNC9ZsBZKMXoV1a0gHFWY22eMwtmwH+iHmF+AqeBN2hm5gswKdKxA9h2OPYil0dTcw+aqrxgptViBDCtjBylBjuaiNUyDfztVbCLkj/BaeBq0upCHBXcHrYyOCrUoFSp2s2Bwt3Tqon7PU6WqzAhlTwA5WxhrMxc2uAtFOJ9ohNa5Gw8mqDywJj8HFoBCBlm6cEmxWoHYFYj+nP6cs18DeoOXbsaQufCak7v9WIF4F7GDFq6dTy4ECSXyJR52rxks0gix3AyayBI+AwgJytvYE/XagzQrEo0DUyar7nL+UMmlYcK+2ZUvi89k2B7+yAvEo4IkW8ejoVHKiQCO+vKOdULKyvUfyJ4PCALOCZgv3h2nAZgWSV0BOVpfxNZzxYynbhdAXZgebFcigAnawMthoLnIyCiTlXEWv5Gvoamqo7AcccwpcCfrVtlNB0arpwGYFklUgPMcVfJLV5GTdwIGfwoFKYXLTZ7UWv23ylLzFCiSngB2s5LR1ylagwWtdfYjicqYuh+nhRNAEFj23WYHmKVCVkzWOcp4Nm8Fi7ZfZTlb72viddChgBysd7eBSNFmBJKJXjYtcfYx6p4PuBtRs4GNgX5gRbFagOQookhVGsaoqwUPsrRVELqvqKO9sBVKngB2s1DWJC9RoBZJ2rpKrz39J+gy4BHQX4P/B/qBhQZsVaL4CUSer4iiWolf6labVOy+/o1ida+Q9mqeAHazmae+cc6pA8pGrz1BOE9Y1C1grrR8CmqwyC9isQLoUqMrJepGy/wNugXAyVyfVsZPViUB+u2kK2MFqmvTOOA0KJBG9Sq5eX5D0OXA+aPDlADgIZgObFciGAh1GshS96gF/zkZdXEor0JECdrA6UsfvWYEqFUgmevUVpTgXtH7Vz7APKGqlJa5tViD9CkSjWCptWSfrfd64GeRkVdkzOYqFZrbUKVDlaZy68rtAVqBmBeKOXsXvXP2PuilapR7nB9CKi4fBr8BmBbKlQKmTNVnpL2DLDKBfbKrB7GTVIJoPSVQBO1iJyuvE06pA3M5VvPX8huQ0v0rzrMbAADgc5gabFciuAlEnq00US9cSWl1Ey7XJybJZgRwoYAcrB43oKjRfgXiiV99REf0+oO4MlJO1B+jOwHnBZgVyrIDWxNW1xL711dFRrPr089HxKmAHK149nVoGFIg7elW/c6WeRT+8prWsNN9qNzgS5gObFciXApNFsX5gi9bH3Q58LZGvxi54bfxjzwU/AVz9ZirwPZlrjtVCoCHAzeEtkLNl5woRbDlVQE5WaFdPdXUQaOWRGudehen40QqkTQE7WGlrEZcnUQXSEb3ShPWLYBE4GDYGOVZXQA+wWYH8KzAhkjWeT8JFwXr8BWvHU+e4P+PxlMqpFFEBO1hFbPWC1jnuL97qhwZ/RHn9nI0cq/1hXRgGXMG3RLF4sFmBAilwU3BTMJS/g1suNOKreNyf9fhK5pSKpIAdrCK1tuvaJAV+Il/N4l0UtNTC7+ENuA60zWYFiqlA7+CqYC7+NuAvesFSTDVc67wp4EnueWtR16chCkQ7g+h8kraZa1HQwXAijIBt4UH4DdisQNEVUPT2H8HHRHC7tP4ujj5XXca3/4mqRjFFsWJKqppsva8VmKiAI1gTpfCTPCuQ1JBB+a4gdKyWRNJdoSe8Alqm2s4VItisAAro1wnmgh2shhXIpQJ2sHLZrK5UkgpEo1dt8/mFlzfCb2Hn1scXebwNlgabFbACExT4Lw8aItfCV1O1xq8mvNP+52vC+9X8T+rCqpoyeN/iKmAHq7htX5iax/klG/3ynxS9GoeWfwU5Ub1hMXgB7oLlwGYFrEBbBbSgblfQrxTYrEA+FbCDlc92da1aFYjTuZpcVDlWt8OyoPlVC8C/4V7oBTYrYAUmV0AL614Cu8KsE9+edMEy4cegJ75R55NkvwPqLJwPz7UCdrBy3byuXJwKhNGr8QETcYO7SVpzq7YC/Ubg06AJ7CuBzQpYgfYVuI63PocD2t/F71iBHChgBysHjegqNEYBOVa38afbyoPgT6Cr73/B32BVsFkBK9CxAor6anL7FrDwZLs6ijWZJN6QYQW8TEOGG89F71iB2IYGuN37wSkeDFbm73n+JvyMzUM8btBxAfyuFbACJQrcx2v9asGgku2TXsrJ4iNnswKZV8ARrMw3oSuQmAL6ln8U+AHajfjrxt+EDe/xaOcKEWxWoEoFzmJ/RXsri/iGw/JVZlJ299guuMqm7o1WYHIF7GBNrom3WIEgeAwR1oQ/BEGPj3oE1/P3FH8Tft4mOpDBJpsVsAIVKKDo7xNwSAX7ehcrkH0F7GBlvw1dgzIK1Hy1qu//tVvRzU6MaLzLX2/+pmizWk+ZTL3JCliBDhQ4m/c072rzDvaZ8Fb0EsZRrE7l8g4pVcAOVkobxsVqsAK6CZBoVcvPBH7Jo24S5IJ7/B91x2D0657tNitgBapUYCT73wq6c7ArdG7+1HWukfdItwJ2sNLdPi5dDQpUFb3SslUbwmrwMWhZq6GwGfgbHhFsViAOBc4nkZlgl5oSizOKVVMBfJAVqEEBO1g1iOZDcqDAEOrwR1gF3gctxP4y/BlaPxXRL3X7WuhiswI1KfAVR10Je8J0NaXgg6xAFhWwg5XFVnOZ21Wg0+jVSxyqKSArwHC4EV6BrcGfBkSwWYG4FbicBH+EfapOOHphE73gqTqhyAGdfkdE9vVTK1CPAu5S6lHPx2ZHgVcp6pawPLwBg+F12B7KTAmJfplHv+TZ22YFrEDFCsixugD0G51zV3xU0jvayUpaYacvBexg+TzItwJypvQzgcvAi3ANDIMdoYxjxVabFbACsSlwCymNhoNqTtEXODVL5wObrIAdrCY3gLNPSIE3SXcHWAo0kV1TQP4DfaGK3y/wlzt62axATQpopV4tzaC7SPRBrN+ikeX6U3MKViBZBexgJauvU2+gAi1h/7fJcGf4LTwBl8JbsBt0hwrMX+IViORdrECnCvyDPXTnyMGd7tnZDklc6HiYsDPV/X69ClRxLV9vVj7eCiSnwDtKehcYDL8CTfvYHaaCGi2JL/Uai+LDrEAGFTiLMmtsft1Yy64LoC7j/emMVVQnlogCjmAlIqsTbZQCI8lIwalFlKF+R/YckLe1N9TgXDl6hW42K1C3Aq+Rgn4Q/RCwM1S3nE4gkwrYwcpks7nQ7yPBAFgM7pUch8II2A+mBlvBFNB8H1t6FNCVzjygO0ziMbtp8ejoVBqngB2sxmntnGJQQPcjaTUdRaxug5NBflVwBkyvJ/GYv8zj0THZVMaR/MOwJnQFLWhma74C+kmEG0BXO1MmUpy4Is2eh5VI8zjRVgU8B8unQiYU+IhSngaXwbRwHMjRmgHi+pKM60ubItkSVeBzUr8GBoLGgxWynA+WBFvzFbiIIsix6t/8orgEVqCJCtjBaqL4zrpzBT5hl9NBNwOqGz0adF08I9iKpICGAJ8FnQn6XSO91vL7G8ElcDtUeJsoe9qSUuA7ElZ7aGbkzLFnosiyWj5O0wWa58zHqajTChWwgxUq4cdUKfAppTkTdC2sbvNwOADi/8om0RLz8GCJIE19+S25a7hJjpVu+V8QToBd4HtQ1Ep3NKwAtuYrMIgifA36tCZrvpswWX2dev0K2MGqX0OnEKMCGvw5G7TKghwdraBzIMwKSZqHB5NUt5a09TtGcqquA0VFNoFTYQMIp47qRyXlcp8EtuYr8AtF0OT2raAHJGP6Xog7ipVMSZ1q0RWwg1X0MyAl9f+Scuir+XzQ1OV9Qc7V7NCRxTX/KsxDX962ZinwAxnfAXKsnoBfwX7QD+aHqN3Fi3vgVpgx+oafN02Bu8n5XbipYSVwFKthUjujGhSwg1WDaD4kPgU0mHAeyLn6CTTYcyjMCbaiKDCSil4O+j2jT2FNuBm2gHJ3oX3DdrngimptCbZ0KKDY8xqwUjqK41JYgSYrYAeryQ1Q1Oz/R8U1DKiv5LGwJxwGc0GjzcODjVZc+Wk4SQtRKlr1AMwAfWAA/AY6smN483O4CBxz7Eipxr33DFk9DYosZs880T17bZaFEtvBykIr5aiM31IXdYtngp73hyNASxJWa3EPD1abv/evRYH/ctDVoAU3RsLyrc934HE66MyGsoNc81OhB9jSoYAulRaFTRtSHM/DaojMzqROBexg1SmgD69MgfDm7TPYXcOCe8D/wa8hLeZYSFItoSnJT4KiVVoeVouCbgsaBtRwUqXKK+oll/y3cCDY0qHAOxTjTrgYwhsQGlcyz8NqnNbOqToF7GBVp5f3rlKB79l/IJwGX8CucBSUTllmU1PMw4NJyq6B4MGgM+A1UIRDZ0JfmBWqNTloL4CGorpXe7D3T0wBzaKcBXZOLAcnbAWyqIAdrCy2WgbKPJYyatqyBnI+hb4gx2pBsOVdgZepoJyh60Fnwmag2xjWhVojHKM59khQBGtVsKVDAV02acj3EJg2HUWqsRSeh1WjcD6sXQXsYLUrjd+oRQHdaH8VnAIfwU7wF1gYbHlWQI7UrSDH6hnQrDp1uhoMnhfqtQNIYBqQy25LjwKKTv4Ceze8SJ6H1XDJnWGVCtjBqlIw715egR/ZfA2cDB9Ab5BjtRgkYXFPcK90FlASdcl2mu9QfHWyan3d2aco1e2gyc5xDePpLkPN3boRNBRlS4cCupy6EHaCOZtaJM/Daqr8zrwdBexgtSOMN1emwE/sdh2cCKNgWzgG9AMmtrwq8DMVux8UrXoY5PT0BS2xELdLrdsj9oI/wHZgS48CN1GUj+Gg9BSpzpJ4mLBOAX14GwXsYLWRwy8qVUBd7A1wArwLW4O6XN3flRXzBPdqW0qDvloMVLPrFKdcERS5klut4bskTGeYOvFHwXHGJBSuLU3dGXo2bALNu5zyMGFtreejGqOAHazG6JybXDTbQtet6vbehi1AN2gvA1k1d9sdtZw60sdA0Sq1tIb9doA9oRckaa+SuCbHHwuLJJmR065agb9xhO4M1ZpkNitgBcopYAernCreNpkCcqw0hfl4eBM0w+Zm6Am2PCrwFZW6FjS/Si2+BChioVvxZ4akbRwZ9IdF4dCkM3P6VStwFkfo079W1UcmdYDnYSWlrNOtVQE7WLUqV5Dj1M3dDsfBG7AxXAcaHLLlUYEhVErRKk0o1ww7xSj1ek1oZKzvCvJ7Bh6HqcCWHgVepigastUkgUaeE+lRwCWxApUoYAerEpUKuI8Ghu4CDc5ooGZ9uApWgWZbHHcQev5VtBXH8OIWkCP1PMwHR8JuMDc02j4hwyNgF/h9ozN3fp0qoGFbnSNbd7qnd7ACRVbADlaRW79M3eVY3QvHwYugm+6fhNXAljcF3qJCGgIcBF/CBnA3KE7ZzK8G3ZXWFc4AW7oUGE1xFN08DbqnomiKoel7y2YF0qZAM79F06ZFocujL6gHQREr/RiJ4gaPwZpgy5MCGva7BxSt+jvMBruD5jstDM22RyiAOvBBMDvY0qXAhRRnGtA5k0/zUg35bNdm1MoOVjNUT1Gecqx0P5Acq3+DIlXqdteGIsyuKEIdaUrsA7iilY94XBUGw1YwNaTBvqcQe8JasDPY0qXANxTnMugHM6WraC6NFUihAnawUtgojSiSHCs5UsfA06C5VXK01oPiOB1UNtc2jtqplRWtUtRKjtSOICdmWUibnUKBRsF94LMwba0z4TcH5WTtl76itZbIdxKmtmkKWTA7WIVs9gnXoEOpu+4G1A+RbAhZ6NLimOBOVXNun1O/QaD5VcNhKbgA5FzNCGm0YRTqdNDk9iXSWMCCl+ln6n8ebAPzF1wLV98KVKaAHazKdMrdXm9To4tAP0KSBccqzgbI5x2Eikk+B4pW3QyKXmn47xrQwG+aW1llHwALgO5etKVPgTso0kjQb0LarIAVqESBKSrZyfvkT4HpqdK+sAModmDLqgLfUXDNreoFGuh9HI6DD0CTxVeHNDtXFK8l2vYvHuUcTq0NtlQpIAf4bFgLdJ7ZrIAVqEQBO1iVqJTDfe6kThpAegr0+4EaPHoLbFlRQMu+ai7MPKA7AOeF+2E4aJhtTsiCfUYhD4XesF4WClzAMupbQtHRQ1Jb97RfQqRWOBcsUQXsYCUqb3oT707RdC/Q26ChwsdgSegL74AtjQr8SKFugbVAbrGe7w3vwr2wMWj9qCyZnCsNZ56TpUIXrKxnUV/Ni9uoYPV2da1AfQrYwapPv8wfPRU10DwsxT00hfVhWBx2gxFgS4MCoyjE0aDJxduBhmxugvdBd971gCzaYxR6EJwOWYm4UdRCmS7BdAfqQeDuolBN78rWrYA/MXVLmI8ENPNFc7IUCzkT7oPFQINP6t5tjVZAUZ0HYTNYEHQXoCatvwqPgxytKSGr9gMF18T21UDuvC2dCpxLseaAndJZvIRK5buVExK2YMnawSpYg3dW3WnY4UCQo3Uq6N6hRUBRLk2bzpOlc97Gp0isiI5U15CfolSa/P0haDB3KciDnUElNBitmYD+Gkpni2p+3DWgYWjffJDONnKp0qyAv9nS3DpNLNt05H0IaJjwBLgFFgZNq1ZXb4tTAQ35aSKxbjX4NRwLa8AzMBT6wfSQF9Ow08mgMywvDmNe2iZaDzn2sj0nPGTkfz6XYcmI+C5mGwXsYLWRwy9KFVC3rnvS5GgdA4NBjpaiXB+DrR4FvuFgdWJaVX11eBbkeIyGa2EVSGecjYLVaHIm1WHr7se/1JiGD0tegbFkoYhpX9AQoc0KWIFqFbCDVa1iBd1/Rup9FIwEOVxXw0Kge8A0qGWrRgHNo9Kgq5yMfUAuq24veAsU1ZkN8mo3UrG/w8UwbV4rmYN6XU8d9MnWpZTNCliBWhSwg1WLagU+ZibqrgGskSBXQD/9uiD8H+gHWmztKaBJ3TeAIlXLgFYiU+c1svX5+jzm/eP4JXXU3Whbw0ZgS6cCusHiTNgUFktnEV0qK5ABBbploIwuYgoVmIUynQD7g9Z41j1uGlDQa3Whs0Lcls07e3S7gNxQxfw+g3XgVtgcukORTLFPDT1pQRBbehVQhFHR1HdgIZg/wgKR59o+HaTDNJiuAWibFUiLAnm/ZE6LzjWXY/jw4cFqq60WLL744sHKK68cDBs2rGxa9913X7Dkkku27LfVVlsF3377bdn94t6owaxTYARo0OtcUETrOPgKimm/UO17YWPQ3YBysHqD2k6d11ZQNOfqKep8Oehs0dCoLb0KrEvRBsOFoB93VnvpQuE60NIaG8JvQDM0Z4ee8CfQLTC63NIFxL/hIxgHNitQTAW6jMeKWfVs1HrdddcN+vbtG+y0007B7bffHpx++unBc88916bw3333XbDwwgsHTzzxRLDooosG++67bzDNNNMEZ5xxRpv99GLo0KFBr169giE819di3PYJCSrXS2BqUDRLUS3N4arX4ohgRe8win/6uGp/JciRGAUrwJ6wHUwLRbWfqLjOtmngGegKtmwqoLb8EHR+v9f6qOfha237DkKbkifzgaJdpdEvvdZ7Oi/isbAz6zK+/k93DEnEU6kqUxnK/r1gyJAhQc+eSXzLV1mgAu9uByvFjf/pp5+2OExffPFFMMUUU7SUdO655w6eeuqpYKGFFppY8ttuuy24+uqrgwceeKBlm6Jc66+/fvD+++9P3Cd8krSDFeaja9fTQLEbDSIcAprOPQPUaul0sPSV/i/Q3YB3gEbd5VDJsVoRbBPW9dItEi/AchYk1wro86DYdehw6TEkdMj07RC6QjxtuUuxPQdM2+eAyhymMFU7WHawdGY12zwHq9kt0EH+cpDkUIXOlXadf/75g1GjRrVxsPR6gQUWmJhSjx49go8//jgYN25cm2Mn7tCAJ3OTx/lwGJwKx8E5cCjsDemZuUFharKvOeo6GAhvwOKg2F0f0Aw12wQFRvBwPCiOaedqgiZ5/i9HSOe/WLadiv7I9tHwHpQ6Xw+1bv+ex9AUC5ejFUXfd+FrRcGmApsVSJcCdrDS1R65K8281OgikKOl2TdHg2ZpHA4DIHsDZwrAK1p1I6ij0NwTzVVZG9S52CYpMJ6ncqc1T+f4SZv9rOAKaNhwwVbKSaHz5nMInS89vtf6+jUe74dPIGpz8WIWhsamCdbir+V3v37PpoVBfths4I8nItgaqYAdrEaqXWVe8803X/DRRx+1iUQpWqUoVtT0+pFHHpm4acSIEZNFvia+2aQnKrFiPUfAySCH68zW1/151DVqek1X038FOVb/BrmNchF3B00AtpVX4DY2Pwh3gSZE26xAJQrIE5JTLtqbQzSW9z6AqPP1fPA9k/Hv1Q0m+qheBKFp2p+crSVbH/U8RMGwot1zQpVtySswRfJZOIdaFZhjjjlaJikOHjy4JQnNtZLTFZ1/pTc23HDD4MUXXwzeeuutlv0uvfTSYLvttmt5nrZ/PSjQFaCSbgQHg77nLoYfIF32NsVRCX8NfWEmuBNGwjFg5woR2jENoWpYUBG+zdvZx5utQK0K6JJsEVgHdoFj4T4G69/gu4Vvl594qSDX83AraJe1QV8y+F8tp+aGPC4K00APWBAeBZsViEkBR7BiEjKpZAYOHNhyF+Epp5wSzDTTTMGgQYNasjr22GODeeedN+jXr18w/fTTB1deeWWw+eabB7/88kuw1FJLBddee21SRYol3YVI5Wr4PzgR9oPT4CjYFTSI0Bz7mWz1DaxL4EdgVtgFFGfTt7GtMgXUkt/ABZXt7r2sQJwKdCGxOVtZgcetShLXx/x9eAfkVOnjrqDYL2CzAjEp4LsIYxIyK8k06i7CavX4DwecADeBhhOPhj4Qjdwnexfhh+R2RSujeVwF9oStQZe4tsoVeI5dpZ9m2x1Y+WHe0wrUqYBmb8kquotQO8v/1503veAW0JdPq3mZhlAJP9aqwBS1HujjrECcCixOYjfAa7Ay7AHaNgh0sZmM6Rv276DLW32zalbYJqCJ7M/AzmDnChGqMLVWf1gW9q3iOO9qBRqowFfkpY/9AaDT9HGIOFe8slmBuhWwg1W3hE4gTgV+Q2K6kHwFeoIG55aEwRBX+P7L4EuGJTUwqVvJ14NhcB4ocnUZLA+22hS4kMNehsvBMxBq09BHJaqArp8UsdK1laZUKtDavDkJZG7LqwL+Bsxry2a8XktTft2D9hIcB4oltUxC3ZNH3YLYVRuqNCa8dlmjSzDlE1PyAx7jOFjunByrtUCTNmz1KTCKw/8Ce8OK9SXlo61A3AooYK25Vhq11heMplguBDYrkJACjmAlJKyTjUeB5UjmLtAa4C3LwB/Jo74ctWqCfKTObAw7XAUrwErwZhDsyN8HLbd4K9KyNti5QoQYTLcqzAgnxZCWk7ACMSqg+y22B/n+/eApsHOFCLYkFbCDlaS6Tjs2BRTRH/8G//4NC8C2oGk+d0A5RwtHqmV+hVZS0ISuX8G98JH8rat4qQ22+BS4m6TE+TBTfMk6JStQoQIKUJU1zTfQBdYDoAuzC2EqsFmBhBWwg5WwwE4+ZgUUhXoQdAU6F2wJ8r7Ut/8It8I6oIlbN8AAeAfuhz9CLUOLHGbrSIFveHMf2Bg0c9hmBVKggDyuK2FlmAaGgG4KtlmBBilgB6tBQjubmBX4HelpDsW/QF+ef4LpYBv4CeRcfQBaXGtBsCWowLGk/TlcDB5uTVBoJ12pAt+xYx9Q9FoTOHVT8KJgswINVMCT3BsotrOKUQENC8rBuhQ0bCgna2ZgCLAlkjUrj74zCBGSthfJQMOCp0APsFmB5irwWPDYhOkDH1OO66F3c8vj3IurgCNYxW37bNZcgZKzYDHYEEaAAiefwGiQ06VhwI1gNXgUNFRgS0CBX0izP+huzIMSSN9JWoHqFLg2uDZYu/vaQfA1x+nOGDtX1QnovWNVwA5WrHI6sSQUkH+kCP8WSnwOOApWhafgJdA8qxlAo1PrgbY/BOr//wBrwmNQYva7SgSp+qXCh8+D1g7rXvXRPsAKxKfA18wO2Cboyx83CQfBe7BE7alndRX32mvsI5NQwA5WEqo6zVgU+JZUwmU/NeVKvlTLyqOaWzUYtFFOValp2wbwLNwHY2DtVp7g0RaDAh+SxpHQD9QQNivQLAX+Q8Y9WTfvNn7f9OoJP3I6bbPK4nytwCQF7GBN0sLPUqLA65RD96TNA3vBAqAbB3UzYMuaVopiVWJytDYBBVl0l+GX8HvddNiLl9pgq12BAzhUE99Oqz0JH2kF6lbgJlLQGgzdgxf526XlCqzuRJ2AFYhFATtYscjoROpV4AcS0Fcl/k+wFNwGWrZyBMgV2hBqPlnlaG0GQ+H2IHifvz/xt2FLqk+z0VadAlpQ6FY4F2ap7lDvbQViUWAsqewJO8BmwTdMuFq2ZWG8WBJ3IlYgFgVq7rNiyd2JFF6BkSiggab5QF+VXeEWGAUnwfwQm+ls/3MQfMzfLfyN5G/CTHhN3BoCts4V0Hjr3iDNtu98d+9hBWJXYDgp/g6uAU0iuD6Ynj+bFUibAnaw0tYiBSnP/dRzDVgILobtQEOD/wQtZTUlJGVdx3dtmRD7ekuOZ5KN3DkNM2wOLTO9eLSVV+AENn8EmuCu0KDNCjRSAULQLSsLa3FbTbLUHECfh4hgS6ECdrBS2ChFKJKcKn09ng8fwgWgm/0baV1b4mWHkOUbcB3IxVsetDz8q2Brq8BrvDwbdBvnIm3f8isrkKgCmkSgSQNbwQagiPNyYLMC6VXADlZ62ybXJbuK2ilK9TFMV0VNk7l9uhsl2AneBO5CapmstQyP24KcL9uEH3zsjxByrA6zIFaggQqMJC/FuzUceBFoEsGMYLMC6VbADla62ye3pZubmh0ImiY9uom1HN8mbzlau8BbcAUoxqYp95odJueryKYfdXsaBsJURRbCdW+oAveQm6LKn4IWuNP8v/aHBLskcwVGnjYrUL0CdrCq18xHxKTAoaSj5WqOjym9+JLRopm7w9twCWjxrN/CzqBtRbNPqPDh0BfWBJsVSFqBn8hAw/eaF6lzTrcArwA2K5AdBexgZaetclfSmajRX0DDhcNSWTsNYg4AOVWaLabf3VkSFOV6F4piB1NR3d95ZlEq7Ho2VYH3yV1OlT5z58CdMAuUt7ZR6PL7VLPVQbBq1PK+HSlgB6sjdfxe4grIfdFSDEcmnlM9GUzNwfvAO6BJ3g/C4rAHjIQ8m5zKG+AsmD3PFXXdUqGAPlsaEvwAFDk+ENofEuRNmxVIrQJ2sFLbNMUomGbznAx3wVMVVjmOK8za5mpMQwn3B0WvToO7YTGQm6ir7rzZWCq0Jyia0CdvlXN9UqXAz5Tm/2BjWAVebH3kwWYFMqqAHayMNlyeir0dldE1q2b5xB3uT0YnzRzTsNkIOAlug0VAUa7RkBc7hYq8B5rY7ihCXlo1ffX4kCKtCxqCPh00sX02sFmBbCtgByvb7ZeL0usk1NeqIlj6am2kfR58Hoyr2a2bjqJqyQI5WsfCjbAwKMr1EWTZ3qTwitIdAUtkuSIue6oVeITSaT2r4fAY6PNUW7dUW1Sa7GxWICEFajuTEyqMky2uAn+g6uuBBgk0WNAIO4t5RXPw91TFg5PtlWoG3tAsMjlaR8G1sBAoyvUJZM3GU2ANey4A6Z4dlzVlXd5QgV94chxsAIpfa0hwdbBZgfwoYAcrP22Z+ZooiqW7CQc1oib3B8Gh3Q7lRzd6BavyF4/NRDK6L3Ik6Er8CpCjpcHPzyArJgfxcbgUps5KoV3OzCigiw45VifCCfAgzAnVmy4F4rQ45nfGWR6nlW0F7GBlu/1yVfqe1GZ7OBbGJFkzjUpsCX/U0plPswBB15oHCcsXc2Y2Hw8jQXdBXQI9QNGgzyHNJkdQ6w/tAIop2qxAnAo8RmIaEnwNHoWjof5uyMODyGhLnQL1n9mpq5ILlGUFTqLwn8IFnVSi5itNBWY2B82pvTkIuvOXnM1K0qrRCNAE+PNhQTgGvoQ0miJvGr7R+kM2KxCXAuNI6GTQB29JeAnWBpsVyK8CdrDy27aZrNlClHpPOA1ij/U8Q6KbwGpwO0wFDTGtH6UaydHqB2eBHK3j4WtIiz1OQa4BDdb+Ki2Fcjkyr4AumbT8gobPNUdRIeS5oD4bX9/hkx1d80XbZCl5gxWYoIAdLJ8JqVNAgwa63j0lzpK9QGIbgsYh74KpAWvs0ILmmci50jpau8Cp0AN0Zf8NNNN+IPMB8DvYvZkFcd65UuBJaqNJ7Pqpm4fgBOgKNiuQfwXsYOW/jTNXwzkosQaqLoKRULe9Qgrrw2+Aye2BVldoqunq/VyQo7UjqNPpAYpyfQvNsDPJdDgMBH8tNKMF8pWnLpF0Tq0FC8KLoA9h/NbYi6T4y+8U86uAv0nz27aZrpmmhmsG0zEd1KKikP4wElgP9B2vm5W0okI7FveQQzvZRDbPw/MLQY7NtqDaqqCKco2BRpny11wxLSuxdKMydT65VeALaqaJjrpMOgT+CfOCzQoUSwE7WMVq78zUVkGm4+B6eBlqsrc5SnNqFTD6G+jmvlTafJTqElCBtwCtBrYQKMr1PSRpcis1621u6MidTbIMTjs/CvybqmhI8Gm4DxSV7QbxWuMvhuItv1MrhgJ2sIrRzpms5a6UelE4opbSj+QgOVczgebUzgbtWHqGGBaghJfDW7AJHAoLg6JcYyEJu4lEH4WLQT8BZLMCtSggl+c8WAMUmdWQoM7hbFhF0fBsVMWlTJECdrBS1BguSlsFtICCpoE/BP9o+9bEV2W/GD/g7XVgSvg7/AoqtHRcGWuY8Cp4E/4AB8AioCiXJqPHZV+SkAZjtwbd5WWzArUo8BUHbQk6l/aFx2F+SN7Sc3GUfF2dQ/YUsIOVvTYrVIk1YLYKaDbHuEpq/jE7KXKlneWV6WI6syan6lp4A9aCfUAxPUW5foR67QgSGAuKPNisQC0KDOEg3ZqrD9udcDboyiY5S8dFUHL1c8r5UcAOVn7aMpc16UKttCqTvsZv7ayGn7KDnKvvQJGr+aFCi14Jp+8LfHFqcT28Br8DLaegbVfDT1CLaY6MHLWTYZ5aEvAxheVJbaUAADs0SURBVFZAnxINK+t81Pi7hgT/BDYrYAVCBexghUr4MbUK/J6S/RGOgh/bK6VuXFofPgc5V5q6lDvTOhM3g9adWAF2gyVAUa6foVKTU9YflIYmuNusQDUK/I+dtwNFVPvBk7AgJG/Ri5/oRVE9OZedZlBPgj7WCrQqYAfLp0ImFNBcrBGgmEupfaIw10owCjRfW8GdXNtS1E7xvJdgGegLcr5ugF+gMzuXHTTsKDW7draz37cCEQVe5rkcc6158lfQDRhTgc0KWIFSBexglSri16lUQC5FHzgBvomU8Fuet9yrNJIn+s7XjjVaXFfENWZfw2HLcozmvbwA8ip3BAmgKNc4KGdyU4+D/WF5sFmBShRQ7OgK0IzI6UCD9ro5Itvm6FW22y/tpbeDlfYWcvkmKnA8z+RcaRqtbAxsCv/RC00pUhQrJlN3kh3rRVHvBa1BpKGa7UGRrdsg6mipVvvAbCBX1WYFKlFAlzE7g4YD+8AzoJstGmvRz2T2LoYaq5VzS4cCdrDS0Q4uRQUKzMc++8FZ8B7oDsPn4AGI07lSctk0eZhSQ97mPKAIg6JUinKpe7od9P6FMD3YrEBnCrzODiuCziENQQ+EqcFmBaxAZwrYwepMIb+fKgWOoDRTwlrwL1DcZnWIK9SfjyvjVVHkb/AEzA5/huWgP2wOvtsLEWydKnAte8i56gYvwA5gswJWoFIF7GBVqpT3S4UCM1CKX8NIuAjWgbgtdLKiQxJx59GY9OR66pbKf8JnoFstR4Amq2W/dlTClogCY0h1V+gLultQQ8+6W7V5Fj1bw89nvaWJ66Ks3nL4+PwqYAcrv22bu5rp/ri+8AYoLvMwRC2JL8zoF3s0r2w916Tkj2AAaGhwY/gdKMqVjxpSEVssCrxJKiuDbpS4Bq6GacFmBaxAtQrYwapWMe/fFAU0VVsDXDe1chaPWqhAc7BsHSnwM29KuWVBc6+0ZpFcUzlWG8Aa8I/W1zzYCqzAjdR9BdA5o09WX2i+RS8B4opeNb9WLkERFLCDVYRWzngd9QW7L+haWrNCNHV7R1gaDoPoFzAvY7H8fJFrIFXrZV0GmkvTBdaHZ+B++AHWhbXhcbAVT4GxVFnRzd6g+XnPw1KQX0si2p1ftVyzWhWwg1Wrcj6uIQrIeToELgGtwiPHStYVTgO5BJpRFFoSX5xJOHBheZN9fJ/kj4a9YKWSrORobQyKVNwDX8NaIGfrKbAVQ4HhVHNVGASXw2DQMHL6LD8XPenT1iVKRgE7WMno6lRjUuAvpHMOKA6zW0maG/F6TdCdhZqfZStVQItazAgnl74ReS1Ha1MYCnfAZ7A6aPjwWbDlV4HbqFpP+BbU1nuAzof0WBIXN0lchKVHMZckTQrYwUpTa7gsbRQ4iVdyDc6Gvdu8M+GFuoIz4FW4fsKmWP9Hr5iT+KKPtbCTJXY3W+6C82Gmyd6dfIPU3AJeBM1u+wAU2VCUS0NGtvwooGFhDbprsF2XKUNgObBZASsQpwJ2sOJU02nFpsBZpKTolZysgzpIVQNfW4H21UwSma9QFZFQB6rOU+pUY/pK0DGvwE3wLkjlzUDOly3bCoyg+IpQajjwYrgZFOVMn0UvaqIXO+krqUtkBcorYAervC7e2kQFLiLvQ0Gzh46qoByKcn0I6i7itugXe/QLP+584k3vWJLTUJ8UqXXIpyvHbgevg+KDb4KGk/4Mcr5s2VNAUU214efwFOwFtZ4fHNogi34G683SF1/1Kujjq1HADlY1annfxBXQRHbFXg6BEyrMbTH26wdytL5sPaa4X6S6Y1DDgsfAgq1q1PMgR0t3l70Bg+BlWBa2htfAln4FfqKIB4PuEFwLNN9uBUivZediJr0aumTNV8AOVvPbwCVoVUD3L/WHfUBzq6q5tpY78SOcDnFb9Ao63V/8muovBZcEdahxWjcS6wOKZF0FL8AysD0MA1s6FXifYq0JF8C5cAfMDDYrYAWSVsAOVtIKO/2KFPgre/WF3UDxl2qcK3YP5gK5FDpWXYoszihW1MmakHoa/w+kUM/BZdA9oQIq3V3hP6D8noLfwo7wFtjSo8ADFEWT10fDE3AAVPvJ4pAGW/QiJs7PXZzfBw2WxNllVAE7WBltuDwV+y4qswNoIEpddq0npYYVZ4DjIEmLdgBJ5lNd2pqFdiTsAb+r7tCa9p6SozQw+zZcBI+BImd94R2wNU+Bn8n6/2AT0LmgmxNWgeKanavitn0za15rX9bMMjvvHCmgRUK3AU2d1krtXaFWk3OlocJBoKnZcVucV9Nxly0IDiTJqUDLrzbSlKcmSw+H8+BhWBx2gxFga6wCilatA2eCBszvhlkhGxa9eEn35y0berqUzVXADlZz9S907n+n9nKsNoYbQLN86jXFVDS1W9fvsqSuXKMdwYScmvlfbqoGWTXHplmd6dTkrdsT3gV17vfBYqA5YaPAlrwCfyOL5UERxMfgMMjOV3z0M2XniqazZV6B7Hz6Mi+1KxBVQDNCNoO14BboDnHYlCRyMtwLykMWp5MV/eKPdggTcmrG/zFkqgjSerBDMwpQkuc0vFY0TY7WqaBJ1YuAyvgB2OJX4BeSVOx2Q5CD9RKsDjYpEOfn34pagWoUsINVjVreNxYF/k0qilppVoi6Xw0yxWlaQKAX6Po9HU5QnLUrTetENnwEl0CaJjBPR3k0K24EnAByoxeG/eBDsMWjwMck8wfQZYV0VjRzDsiWRT+n0YuYemth56peBX18PQrYwapHPR9btQJDOWIDWA7uAcU74jad1KfDs3Bn3ImTXrQDiHYMCWTVSZKv8b7WvD8KFu1k32a9PT0ZHwFytBRlGQxytBTlknNgq12Bf3KoIlZaJuNROBr8lY4INiuQCgX8aUxFMxSjEK9SzfVhcbgfFONIytYlYTlymov1M8R9JRt1ski+CTaOPAeAnBXF6tJuM1JAOYIjQQ7X1bAQHAqfgq1yBdT2J4GGhZcE3SW4NmTTohcpcX6u4v7MZ1Ndl7qZCtjBaqb6Bcr7Teqq7mA+eAjU3SZtp5GBFhG4KuGMoh1EwllFkletnoKBMFVke9qfzkQBj4WRoCHEyyC8LeFznts6VkDO6EagaKAiVo/AXJBNi3524nSusqmGS503Bexg5a1FU1ifdyiTIkqaGaLuYBZohGkYsjccB99B3Fe00Q4h2lGQVcL2X9I/HPrAWpBF01lwAowAzcu6EHqAnIYvwDa5Ak+ySUOCilhpOYzjoSvYrIAVSKMCdrDS2Co5KtN71GUd0Eycv8Ps0Eg7kczUXWuFpvzYwVRFH13Nv8q6zUYFTgE5WrrT8FxQROs4+ApsQaAhQc0qXAsWAjlYmtiebYtelEQvVuKoVdwXU3GUyWkUTwF9S9usQCIKjCbVdaAb/AN+BY22HmS4N6h70uBK3F+80Y4h2mGQVUL2KOleD2dCo93VhKrUkqzim2qld2H31udytOQi/w+Kaho23QyOAM1X0ydpXrC1p0Dcn/H28vF2K9CZAnawOlPI79ekwCccpWFBTTBvdpdwJGXoAieDLO4v4MY5WWMpvaI8v4e+kEeTG342yNHaGdRqcrROhW+gSKb7YDUk+AzcD9JAlyvZt+jFSPTzk/2auQZWYJICdrAmaeFnMSnwGemsB4o7aFhwAWimKc6j63+tFKVuO7umDnYkDAS5jHm2uanc+aAZfNvDcbAQnAGaUZdnk/uhodI14NegIcGNIR+WpHMV98VTPhR3LZqlgB2sZimf03y/pF5aiuG/8A9YBNJg+1MIDUL9pbUwcX8RR6/Cox1IfHV/k6R0X6Qmty8ZX7KpT0nDYRfB27AlaBK8HK1zYAzkzTTvTPU8CHTWPg7zQz4smc9GPrRxLfKngB2s/LVp02qkiNVG8B5optASkBabloIcDzfC0IQKlZyTpW5pAMwHGvAsosnJUOTuLdCcJK39tTAoyjUW8mAvUIme8E+4C3QTQ3fIp0U/L3HUMO6LpjjK5DSKrYAdrGK3f2y116DNJqA4yyOwNKTN+lIgOX1HtBYsO1/I11FiRTIuhWlaS1/Uhx5U/Ar4D2wIivTI0boYfoAsmhxolX810F2VugTYHPJl0eiVnat8ta1rU14BO1jldfHWKhT4nn0VU3gJHgJdg6fRND1Ys5jkAApZ3E5WtOOIdigTcqvlv+4iOwQ0D+kPtSSQ02PkVF0DcunXhf1AA9ID4UfIiinuuy3sA/3hSVgQ8mXRz0L0M5KvWro2VqCtAnaw2urhV1UqoJiBZow8Cw/AKpBmU1zgd6CZTOMSKmi0A4l2LLVlp6Ew3Yt5Tm2H5/6oRamhInyvgyaF7wWLwZXwE6TZdEnSC3RZ8le4AKaCfFn9n4GO9Yj7Iqnj3PyuFahcATtYlWvlPUsUUPela29NZr8H1L2l3bpQwDPgRbi5tbBJfEHH42T9ixJeDafBXK2l9UN5BZZgs2bYvQorwx6wOAwCOahpMrkcV4AuR6YHDQluDfm36Oci/7V1DYuugB2sop8BNdZfXdaOoKjVHaBBmqzYahRUkayjIJy1k4STFdWj+qt4DXMNgFVBzoKtMgV+y263wMugNaR2Ad11ORh+gWbbtxRgJ+gHfeEZSMu9thQlZoue90k4V0l/bmOWw8kVTAE7WAVr8Diqq6G1XeF20MDGxpA1O4UCj4KBCRa8vg5FK7W/DZeBP6bVN9MyHKIzVNGh38DOIOfrJmiWo/Uaea8IukNQ0TadfVNDPs3OVT7b1bWqXAF/c1eulfdEATlX/eGGVv7EYxZNXa6cxBPh69YKJHE1HHWyoh1Oa5btPAxnu0p2EKTxfsx2ip3KzYpi3Q3PgyJFO7Q+8tBQG0RuK0E30HIM20N+rfJzPb8auGZWwA6Wz4GKFdCX5v5wFVwDmn+VZTuOwo8BrTaUpFXnZEnlvUBzro5JslgFS3sF6rt6a521WlujTGeYhinFdvBv0Hyx/FrUudK5Hz3/46p1EhdDcZXN6ViBUAE7WKESfuxQAX1pHgYXgQY2NOCSdZuXChwA58BHrZVJ6os72slEO6DWbCMPN/P8EdC6SNNFtvtpfQqcx+H/B8fCJfUlVfHRb7KnJtxrTtgguBqmhfxa9NyOnvNx1jipz2icZXRaVkAK2MHyeVCRAuqWFOnRjeSanpsXk9OoWTDHRyrUiC/waEc0KesveXogbAWbTNrsZ3UqcCnHS9fDQWdyI0yD6Iqa6XaQ56AP2OpVoBGfzXrL6OOtQKiAHaxQCT+2q4AmhGtG0Bmwb7t7ZfONmSn20XAl/CdShSS+yEuHSyZ3shRh0ZDS+ZGS+Gl9ClzD4Rpy3Q9OhS6QpI0lcc1S3BG2AM39WgrybTqXo+dzUtGrfKvo2uVNATtYeWvRmOuj4TMtZ3ACHBpz2mlJTt3vr+HIBhUo2vlM6pSeIPfL4GSYp0ElyXs2ulNvN5DDoyHCpJ2r4eSxKlwLV8B1MD3k2yadwxPqGT2/46x5Ehc9cZbPaVmBUgXsYJUq4tcTFdAsoINBcZWjJ27N35OpqJIidHfAM5HqNeoL/ceWFcf/RM5zg9w9W/0KaIkGzRTsA5pzlbRzdSt59ITvQBPZd4ek8ySLlFlSzlXKquniWIGKFLCDVZFMxdtJdwruA5q5ophK3ruK3tRxWdAsnegVeVJOVrQjOo/oyhTBV+T8V+gKtvoUuI/Ddcfe1nAlJPk19wPpa+B8G9DdiS+AzqT8mz4n0c9K9JyOs/b6DCb1OYyznE7LCpQqkOQ3T2lefp0RBTQ9dw/YE86GvDtXVLGlCz6NRw3UqXuOWlJf7uqQhvN3BH+78Dd+4jIC0dz9vDoF/sbu+nXMTeE6SNJhHUH6q8PloHiv7gCdEfJvUcdKtU3Kucq/kq5hnhWwg5Xn1q2hbhro0MDKLnARFMG5opottgH/14EjoHSt70ScLHqpRTdZNJiFv1NbJmC3jQi0FMr/qlDgMfbVUOsfQM5Od0jK7iLh5eFzeBo0tFukTwvVbbUknatEPndhwf1oBRJWwA5WwgJnKXn9YPMOoMEVXZMX7eRQ93g6vAHXQuKmSV/300Xf+XkwB3+hlUYHwu1+7EgBOTl/hNXgNpgSkrAfSVQr7OsOQbnjQ6EXFMN0bkbPTztXxWh317I2BYrWh9amUgGOepg6asbK5iDnIsmBFZJPrWnlom3hGPi+pJSxXk3/j8T3g82AoIs6qmhnFe3ESorhl5MpoHlPmv8kR0eRJa1sloSNItE14UI4F26HmaEYVnpORs/XuBWI9bMWd+GcnhWoUAE7WBUKlefd/knl6OMDDZHpxnb9WlqR7SQq/wmoGy212L74/0LKX0O5TFozLe3QSsvi11LgZVgffgOaPTcdJGGEGluGBD/k8Uk4AIozJFh6LibpXCGszQrkQgE7WLloxtor8RSHamDl96B72JIaWCHpzNgilHQAnApflCl13U6WAi5yrE6A+dtmEI1kjQ3G8uPapV1b2/2L/UqDuevBgvAgzABx288kqFl5+pT8Dl6ElaE4VnoGJu1c1f35Kk7TuKYpV8AOVsobKMniPUfiGlhZCe6EpAZWSDpzpgCTulY5WeWs5k5AifaHZUFDhO1Yl8+6BIvzdw1/6uBKO7l2DivQ5rep67qgtcP+BkkM1Y0m3bXhLNDsvLthViiOlZ53dq6K0/auaf0K2MGqX8NMpvAfSq0hwaXhXpgWbJMUmJOnh4ICTaMmba7/2cUkoSDIZdCtg+T2Jt9ZRgUb8hdaaWcXbi/e4wiqvA7IqXoUZoO4TU7bcqC8HoPDoFhfl6Xnm50rTgGbFahCgWJ9Y1QhTN533ZMKaijsAZg+75WtsX66V2wm0IT3cqYoVlWRrA9I5WiQ+Aobtme38Ia4JAjmHT9vm71KO702bxbixfvUUs7VVPB3mBPiNC3QofilHNteIG94dSiO6RyLnmfRYeukVKjqc5RUIZyuFYhZATtYMQualeR0za87B+VA2MorIMfzWLgOXim/S8vWijsHDQkq0VM6SOwj3tsLtgGtl4GVdnClHeCEvYrwX+JoWFAK/APmgTjtYxLTGlpqoBPhAZgDimNRx0q1TjpqpTwq/vxoZ5sVyJACdrAy1FhxFrU49z/Vp9oeHL4w/F99yUwYh72TRM6H9rxa9W67g+40IHpliyrwX17IuRoDcq5K7g5gS332Tw7XkOAwUGTsKCjW16OdK5rcZgViVKBY3yAxCpf1pD6jAhoE0UoBtvYV6M5bimcolvEYtGcdXoV/y1H7gATfur0U2H4VKKMrocy0ouJGsnQvpyJLepRztRDEZeNISNGq9eC38BKsBcUyO1fFam/XtjEK2MFqjM6py0VzrXUf1sag/t/WvgJb8dZKcBiUdkTRo9p1so5jLwVgJHp7ocMRvHcg7AabQAdWOmzTUZk6SCYjb+kSQLdjfAiKLC0GcdmnJLQRHAuad6WJ7b+C4pjOndLzp/T8Ko4arqkViFcBO1jx6pmZ1JakpA/Bq7ApjAFbeQXkE50Oz8Nt5XeZuHUyJ+tl3joPjoH2Ai8KouwCilqdAxVYaSdYrqOsIJmU7yLXX5cAw+ERUIQpLnuChDQkqEnsmo14HHSF4lg5x6r0vEpCDX1GJvucJJGR07QCTVbADlaTG6CZ2Wu5RI1IPQdbwFiwlVdgLTarqz8SfoKObGLn8Qt7aRLXEnBwB0ecz3uPwyCYESo0dYalHWJpp1lhUincTS6/XH9dAoRLJsRRTHmzcpfXhoVBQ4IafiyOlXPGS8+jpNSY+NlIKgOnawVSpIAdrBQ1RjOKohvQ74V/wTbwI9jKK3Aqm9+BK8q/3WZrS0eiqJXCXgNhyjZvT3qhOdWaQb8/rAU1WGnnWK4DrSHZJh4iV18uv8R7EFaEOOxzEpHTdgQcBv+AeaA4VuqAl3PSi6OGa2oFklXADlay+mYi9XUopW5w00BJb/gZbJMrsAybdobjobN5a1pQYMZT+Lc9yIstZwqFKcEeIO+tDivXUZZ2pnUk38BD5eLrTgC5/HL9V4M47BkSWR6ehftBjdMNimHlnO5SxzxJJXTB4ehVkgo77TQqYAcrja3ShDLpBre/wl3QBzS6ZZtcgRPY9DV0NlXqQPaZCj6/qYOORU6VpgBdB9NADFbaaZbrWGPIJqEk5NrvAH8DnYkaxqvXpMC58Hv4NWhIUIO9xbBy7V/OGU9SDTtWSarrtNOsgB2sNLdOg8u2OfndADdDPxgHtrYKzM/LfeFM+G/btya+eohnt4CcsHZ/uW4Ib54IGh5cCWK0ch2oOtp0m1z6PnA33AobQL32JQn8GbQm//7wOMwHxbBybV7qgCethJ2rpBV2+mlWwA5WmlunCWXTPKxr4RqQI1HuS5rNhTb5RLrfTP5RqY1hw16wLmi4NbQ2QySaYiRfYmn4S7hH/I+lnanaMp3tKVdedwPItSfkF2wG9doLJNATHgNFw86C7pB/K9fO5ZzupJWwc5W0wk4/7QoUZxJC2lsiReXbkbLIB1CXNxWcDUyhsLUqoKiUnKyjQXGRRSC0k3gyGhTFKqeZOp0u8h80uf1lmBIStNDJGt9lkmsVPitXvgSL0k7SKo1WYR0Eg0GrjtVjSk8Ljum2zWXhH7Ag5N/Cdo3WNGz/6Lakn9uxSlphp58VBRzBykpLNbicu5PfhXAuyJGwtVVgP17+CqLavM5rDR0eBYtBOXtSG++BvWEpvWiMleto1SGX65QbUyLlotw1fHcpXAHRmB8vqzbNjtsWFHvtD0+AnStEsFkBK9AEBexgNUH0rGSpuIIGVk4BRWZskxTQnPQTQHOtngcNcg2AheFwKGe687APrAY/y3ttsIXDRKXOVnMcLeUqV/Q8uAh2g3pMk9dXgIdBc7guAMVf82thu+kxamE7R7c14nmbYfBGZOg8rEDKFeiW8vK5eE1WQAMt34OmCqm7OhRsExTow4Mmssuh2h4UndKAVHvdurT7GOQCdIVwKCUyesfWxljoZDVv6FAu+6mgAWiF82o1uReXgwZrl4QHYRHIr5U6VGFNwzYNXzfyMTyXG5mn87ICaVfADlbaWygF5dMwmOZkaWnGqUEDMLYJTpJcBE2pUhRrZ1gbypmcqoFwCaSp+1enHHWyVPawA09ujtYZ5HIMnAwaIqzVFBPsDzeC4oca0NYZmk8L26W0ds10rFQWO1elLeLXVmCCAnawfCZUpMCJ7CUnS3OP1IVpArwtCP6ICHPC5yC3oZx9ycZdYX2QG1BqYQfVjEiWyhJ20O05Wi37lBa65tcaulPMT277kTWnEgSvcezW8D7IwVIMMZ9mxyqf7epa5V8Bz8HKfxvHUkNFM84EDeYoZjAYbBOGBLUellZx0vKY5UwRv+/gKugoKhQ6WuXSaMQ2OVohpfmpk2+voy/dt/3X4VDeIeyiGWy12jUcuBLo+vAFyJ9zFepdqnnYPqFTTOWbYs0+V5tSaWdqBapUwBGsKgUr8u5yDhR/UCSrL0wF20BRTTrsCWvA7KCYjGIq0UGq23l9A8gh/TV0ZmHH1axoVli+sANvL6rVkaMYptH28VpeKn6nWycU66s+hSAYw3Fy8QeBYoK6U2BayI+VOlTRmoVtEt3WjOfhOdqMvJ2nFciSAnawstRaKSirQp6XwQ+wA0wJf4Ii2mlUeiRoGcuu8Fu4BMJZRZ/wXNG+LaDaBQjUiTXbyaLYE4cP9TzqbJU6Ah27S7rXUg7RbnA+dLw3O5SxYWyT+/ouDII+kA8r1TJaq7Q4VSqTHatoy/i5FehcAfWXNitQlQJyJq6BP4MiWLpvq2j2Hyp8KhwGv4HFYXc4Gb4CdZr9IHRIa3Ep1KGlqVNTZ99eh6/6hvA0Ypp4LvdSaJp/LV8513PcijAOnoc+kF0LdQofS2sS6tye1qX7N+J1ms7DRtTXeViBOBSo5dsujnydRsYVUOhTQ18bgRytv0NRTB2jBrvmA63kFNqxPNGwoQbAroV7QLOO5oB6LG2dW+gAtFenSY7DA+yi+VbLwdUg17wa+56d5abuBDrLngPFCbNpk3QpX/7OdC1/VPJb03b+JV9j52AF4lHADlY8OhYyle7U+q+wJmipgiegCDaYSj4GGg6cBkKbmycHgtbG0t2WO0Ncw6fq5NLW0YUOQblIyzXEOKdkcHTzYNPgx+AZolvdqpwk/zbqrQpS+wqQyzo9ZMdChyp8LFfyjjQst38jt6XxnGtk/Z2XFahXATtY9SpY8OOnov53wMqwMfwb8mxajkGLr24P65epqOI1v4AGszTbKG5Lm5MV1i/qKHR5vAtzz/oHC/F3C3/d+QstdDaij+F7kx5P5+kyMAaeBQ2+4mGm2KL1CZ+XK24bnVLamHasyrWct1mB6hWwg1W9Zj6iRIFpea3hsGVhAxgKebXDqdhPcE47FdRsoZ9BrsGH7exT7+ZUd4DyhzZBo3V+Ct4c82Yw9fipO61u6JCM5daJvVvuMjyCYzQUqCUYdFalz8Iyh4+dlTB0rDrbr9nvp9Tna7Yszt8K1KSAHayaZPNBpQpo8EYzbhYDRXZehbyZhkCvgtNgrjKVe4tth8EA6AFHQpKWus5wCLXdEDTlSh536/hp6FyEj7wzmb0cvMy5sxhz1i4PLuZvHJPZxwczTpw4Hzoyekzaonm197yjMoT1jD52tH8a3ku1054GgVwGK1CDApqrbLMCsSgwI6k8DOvAevA4LAF5sB+pRH9YBfqVqZCiVn1gXjgL1oDe8BSsBklZ6GQ1fUmHV6ihPGvdTnk/TAftmByPNnYnr/pyyP+m4/ccn2QJ0ZXavF36ohFOVmme5V5PVo9yO6V8W2lTpLy4Lp4VyJQCjmBlqrnSX9hZKOLfQHfOrQvvQB5MTpMiVJdBuQ/NmWzXPW7XgXyL7WB5UESrEQ5BUyMQw6ikPOoF4CGQp12JyWvVXQG6QZCT5bsvvwtWHr/yxNXk0+bARCNSaStbJXKX7mPnqlQRv7YC8SpQrq+INwenVjgF5Fw9Cho2XAfegyybnMQT4SBYpkxFXmbbsSBnSve9yfTB0lTtp+FuaJQ1vNMcTs3kSf8K5FnPApWYTorfw8VwHmjJ+5mhxEqdms5elxze7svO0in3fruJZeyNpjrjGdPKxbUC9ShgB6se9XxsuwpojtLfoSvIyRoNWTRFn/YC+Q9yokrtBzZoOYYl4TiI2h94If4PNITYKAs70MSdrZHUSI2riJU8av1eUCV2HzstDx/Dk7A/lIwasqUmK+cYldtWU+IZPyg8LzJeDRffCmRGATtYmWmq7BX01xT5H6C77hTk+ASyZrdQYAVmLoJy04qOZ7tGyK4DLVlRaqex4U24pvSNBr1OzMn6gAqoUbuDPGl5oJ2ZToTDYVPQxLSh0PF0K3aw1auAHat6FfTxVqA2Bexg1aabj6pQgR7sJyfrf6BpOp9BVuwrCnoAbAl/LFPoZ9imYUBFttpbTKAn7+3Qus8YHpthsXewijzJuVJYTo07L3RmCmEq2nU2nAEaN50VbIkpEHu7J1ZSJ2wF8qmAHax8tmuqarUIpVGQQxEs3Wj2JWTBjqSQcorOL1PY79jWB1YEBWU6shN5U46lpho102LpcD+lBnKuvgU16gLQmd3BDrqddAQ8DoeCv3kQIRmLpZ2TKZpTtQKFUsBfc4Vq7uZVdkmy1jQdzW3eCBTRSrM9S+EGwklQLkBzBNs1SnYtdIOObCHe3BNOhzRE8MIOWI9VmTxjeciqhJwrec6d2Th20Ox/TWB/ETQ0aEtEgbBdE0nciVoBK1C1AnawqpbMB9SqgO7A03wmzUnaBBQFSqP9RKG05pWG9/YuU0D5FpqTpflVWvapEjuancbDKZXs3MB9Ku6U5RFvAKNAnrIiUpXYDez0DtwCc1RygPepRoGw/ap2lqvJxPtaAStQkwJ2sGqSzQfVqkAvDnwQXoLN4HtIm2lI8DW4HLqWFO5rXu8Ca8M+Je919FK+hQI5F8NISJuFHXXZcmk4cGN4Cx6BpaESG8tO8iy3gN9VcoD3qVSBDtur0kS8nxWwAokqYAcrUXmdeDkFtFbU/fAMaAK5ljpIi71HQY6FfUERrFLTpPev4Bqo9sNzIMfMCn+BtFrYcU+MiMgD1gx+3fH3EJQThc1l7VK2anJ72sJ2ZQubjY1h+2SjtC6lFSi2AtX2EcVWy7WPTYHfk9I9oJvQtgUNyzXbNISnqNQsoInppabyDoLzYQGo1rTMw3GgUTNF8NJuY5mjtcG0QTDlu5T0ClilihLLCz0JdoNKhxOrSL4ou4YOVfhYlHq7nlYgDwrYwcpDK2a0DutR7tvhAdgRfoZm2p1kfh9cCDOUFEQ3z+0Bm0JfqNXkbywKR9SaQIOO+5F8tobHQO0zngaaGNXidaempRgU/VI40Fa1AnaoqpbMB1iB1ClgByt1TVKsAmmyu+Y/y9HaFXTTWTPsf2S6H8iB+lNJARTZ0l2Av4DmZRHYqdm6ceSp8DBosnwaTY5ub9CIoJzOdSG0sOMPH8PtbR5H8+pcOAjmafOOX3SgQKipHm1WwApkXwE7WNlvw8zXQHOgrwcNnQ0AOTSNNs2L+hIUvSrt325kmxzAgTAX1Guq7ypwODTLoWyvDnIi+4Icq7/CRtCRRZ2CiY6BxnxVsUM7OtLvldXOslgBK5AbBexg5aYps12R7Sj+1aCpPvtDI52sIeSnZReOhwUgagrGaF7WDrBV9I06nsuB0wia8pUTkxaTT9QfbgI5u6WRPDZ1aq9TuSme4uZBjTHO1Onuhdsh6lQVrvKusBUomAJ2sArW4Gmubh8KdxkoiqQlDRrhZCliI6diaZBjFzXlrzlT04IcsDhtDRLbFI4C+SLNNtV1X5CTew0oCFWLHclB88PREHUmJka3akk0o8eU1r+IGmS06VxsKxCLApoSYrMCqVGgHyUZC3J2poETIEnTulRageAZ6F6SkZw9zZXSJG/dWRi3afWCZUH5yLlplsm5OgQuAZVlZ6jFCFy1/MSgol9TlUmgPQejiwqQYWuvXhmukotuBaxADArYwYpBRCcRrwKabC4nS3OUpgZFRZKwD0hUESTN+1q5JIN3eC2nQw5fZ/OQSg6t+OVS7NkH5ETqcUZohv2FTM+BC0D1rcXkIynquDxouLcaK+egpNXpKlfWaurqfa2AFSiOAh4iLE5bZ6qm6qyPAzlA6vyTMEXJpgdFkqKmYUM5PHPCWdE3EniueV/fwtkJpF1Jkiex08mgOWH1RNG0RtjTcDrE8aUiR6YayLYmqyYPO1c1SeyDrEBhFXAEq7BNn/6KH0MRFck6GBTJ2gvisvtI6A64GWYuSVQOnZyFx2GGkvfifjkfCe4HcrD2hLmgUSbnUdErRdDqueFPyzocAevBH6AZZuenGao7TytgBTpSII6LzY7S93tWoGYFCGK0RJcO4FE/uqwJ2HHYdySi9DaAbUoSfJ3XmqCtJZzWKHkvqZdyTqYEOTqNsovISE6Vhl9V33psEAe/CYpe2ayAFbACVmCCAnawUnwmDB8+PFhttdWCxRdfPFh55ZWDYcOGlS3te++9F3Tr1i3o2bNnsPzyy7c8jhgxouy+WdsoJ0sRJc2T2h00gbpeO44E/guXgNIP7SeeaIL3InBSuLEBj5pAL0fncnirAfldSR4aDjwQVM+oBrysysaw97GwPfSs6kjvbAWsgBXItwLd8l29bNeuf//+wYABA4KddtopuP3224M+ffoEzz33XNlKzTjjjMHQoUPLvpf1jXIALoaxIAdId6htBbXYyxx0LpwIC5UkIGfjFXgWNCTZSNuHzC4AzTm7NcGMB5N2P9BwpIYl63GuOLzldxk/5bGRDqnytVkBK2AF0q6AI1gpbaFPP/00GDJkSNC7d++WEm655ZbB+++/H7z77rtlSzx+vO7jyq/pRFXkReszKVpyL1Rr4zhAkbDFQfO6ovY8LzTZW8NlvaJvNOi5HDo5fbfBvxPK86+k2xd2AQ0R1utcfUYap4GctVJnlU02K2AFrEChFbCDldLmlzM199xzB1NMMamJ5p9//mDUqFFlSzxmzJhgxRVXDFZYYYXgxBNPDPLocHWl5tfBZqAI1sNQjWkI7lnQWk+a8xTa9zxRZGw50FBds2xHMl4aDoO43eW7SVOu+nYgHSadVbyo0U7hOJVTTqnNClgBK2AF2ioQx/ds2xT9quEKzDPPPMHo0aOD559/Pnj00UeDJ554Ijj7bA0A5c80pn0T6G41/ZTLY1CJfcxOmky+G6xecoCG5UaAnLfuJe818qUcSEWE/gUPxJjxg6S1NWwO14LyqddG/n975wItVVmG4V8FFQ0BBRUQRZZoIKVc1IpMQwUszVRsoYLSydCUvBVoahwUL4EgWhaXjLuXDEELUQuNFGypCWYuL4jJRUUFoYuhR7n0vOPMWcOcM4eZOXvOzJl5v7WeZmZf/r3/ZzZzvv7/21sa0LStksE24LABG7ABG9jegBOs7X0U9NOsWbOqi9SVKK1duzZs3aqJrc9Co1caxUqNpk2bhtatW8cWt2zZMlRUVMSSrNTtSuWzRp80laa7/E6BJbCjUEG39hubsuFf+Hw7aDSma8q6Qnw8mYMeD0oGt0B94wkaOAP6wz0QVdGlHu+wN8irwwZswAZsoKYBJ1g1nRRsiYrZly1bFitWHzFiROxuQCVdijlz5oQOHTqETp061Tg/1Wtt3rw5tryqqirMnTs3lqjV2LCEFuxOXx6EXqCkRDVU6UJTifeBxvSUFCTiv7wZAhrR0kNHiyFUFzUGXoLPvvncz2oxu54KXwPVXynBjCJeoJG7YRTsCQ4bsAEbsIGaBpxg1XRSNEsmTZoUJk+eHHtMw9ixY8O0adOqz62ysjJMmaJqmhAWL14cS6j0iAbVYKl269prNfFV2rEH3VOxezfQM630hz81VF91MfSBQSkrr+Sz7oCbDlFMm9FMJHE0rajGTKNEOv9c4ll2+gaorXmghDSq0OhaZ6iIqkG3YwM2YAMlaGAniqGjrqctQU2l0yU9yqFnz57hebrUo0S69W/6cSKshEVwOCRCaeY4eBF092AiHuaNphdV8D40sbCIXl/nXLrALTA8y/NaxvZKKLuCRu8+B1HF4zQk1w/AGVE16nZswAYiM6CH9ehOaN2FrmcjOgpnwCNYhXPvI0dkoAXtKJFoByfAclC8DLfCNZCcXH3A5wtAU4vfh2IMjRAp8bsZNmZxgppaPAkOgQUQZXKlasCr4EtwOjhswAZswAbSG3CCld6N1zQiA3tzrn8CvWr0ZgVcCAeDprSS4xI+VMFdoJqnYo2RnNin8LMMT/A1tlOCeQAo4VTiGWX8jsY08qkasWL2FmWf3ZYN2IAN5GrACVau5rxf0RnYlzPSFFYz0CjLYpgEu0EifssboUcMaMSrmGN/Tu5HcAes2cGJvsF6JZatIZFo7mCXrFZ/wtYaCdS0qormHTZgAzZgA3UbcIJVtx+vbWQG2nK+GmnRtFpzSJ4aXMtnFbyfBQOhMcSPOcm9oLKOk13FOiVXe8JCaANRxxQaXAm3RN2w27MBG7CBEjXgBKtEv9hy7tYEOq+kRPVHKsh+H3Qnh+qtmsKvoLFMcSlJ1FThDFB9VWq8zQJNC+4CT4ASzKjjPzR4A5wP3aJu3O3ZgA3YQIkacIJVol9suXbrz3R8JoyDRaCRLCVZP4eHQXVXmkZrTKFi94PhJykn/R6f1bcqUHKl2qt8xHga1TPDrs9H427TBmzABkrUgBOsEv1iy7FbSjQugq/Cd+FQUE3WW3AlDALVEDW22JUTvgnmw5Pxk1/Pq5Krf4GSq46Qj3iXRpVgXQod8nEAt2kDNmADJWrACVaJfrHl2C3dbfcmTIbEhf153ncCxWugkZjGGKob6wUjQKNyfUEjWEogO0O+4gYaVoJ3db4O4HZtwAZsoEQNJP4OlWj33K1yMbCcjt4Mw0EP2EyEpgafhztBCZZGsDZBYwv9Qx0Dz8AxsBJ0t2ByX/kYacipituvgVaRtuzGbMAGbKD0DTjBKv3vuOR7qAL2H4BqkK5L6u2rvP8JaHpL6x8BJVunwcfQ2EKJlRIdPZJhARwB+YxrabwdDMvnQdy2DdiADZSoASdYJfrFllO3ZtNZ1SHp7sBm8Y5v5vU8OBASjxb4Cu9Vx7QYBsAn0FjiI05UiaFelVDW9t9dZHFkoZGyOTAado+sVTdkAzZgA+VjwAlW+XzXJdnTDfRKD+PUc636JfVQSZVGq2bCHknLj+f9Q6DptbNBiVixRxUnqITwaXgUzoVR8CHkI5TAqdbrCzAoHwdwmzZgAzZQBgacYJXBl1zKXbyKzmkkakJSJ5fy/gbQ9KCm1VJDBeIanfk9aJRrCxRrfMqJKXlUMbsSw+NAo0obIbnPfIwsHqGlJ0E3Dej5Wg4bsAEbsIHsDTjByt6Z9ygSA5rquws0WrV//Jw+5lVJUzcYGV9W28upLLwP7ocLYCsUWyjxGwx6fpcSwpNA0RH031McC+sgytAxlbQqkTs5yobdlg3YgA2UmQEnWGX2hZdKdzVqdSFohEqviVBS9TrMBD1eoK44k5XabgYoYdHUWLGEEr4KUGKlRPAUSI5r+aB/vDcmL4zg/WzaeAmUvO0UQXtuwgZswAbK1UCTcu24+924DYzn9F8DTQcq0VAsgXGgES3VD2US57CRRr2+B7uBpt0KnVgo0dNdj7PgbjgDUmMfFlwNlXAZdIL6hjz8FFTvdXR9G/P+NmADNlDmBhJ/m8pcg7vfmAz8k5O9Aa6AL8ZPXAXf58OX4cfxZZm+VLCh7kC8A1S3VciRLB37cpgCU+FsSBdKrNrAdek2yHL5nWz/DtyU5X7e3AZswAZsoKYBJ1g1nXhJngy8Qbtfh/rUDSkBuRj2hVGQCN31thY03ZdLYbZGjG6DMaDkrRChvqn+SQ9HnQhDoK7Yg5XXw73wfF0bZrBuI9vcDEPh0Ay29yY2YAM2YAN1G3CCVbcfr43QgP6IL4KeoOmoXOJ+dnoMfgl7xhv4I69KSG6FQ+LLcnnRiJiSjFGgRKuhYxQHVB8mwEWQSQxhoy6g6cL6hO4YVF2batgcNmADNmAD9TfgBKv+Dt1ChgZ6sd2FsAZOAD2CIJvQf9hY02eqSUoUfStpqwDdYadRqPqGpgiVZChh0ZRhQ8UtHEgjZ0p01MdMQ0WU2nchKNHMJfR9qK96ntj+uTTgfWzABmzABmoYcIJVQ4kX5NOARp66wtMwEPRYgExDd86p1io58bk0vuw3vEZVnD6KtoaDEp3JkO+4nQNcA5WgKcJs41vs8BXQvluz3Zntddy9INvatRwO5V1swAZsoGwMOMEqm6+6ODq6C6fxEOwG80AjWpkkBc+wnaYBb4QDQDEXZoNqljpAVKFETVOEPwRN1amuK1+hPl0BSo6U6OQSOt+x8ALcm2UDL7G9+qdRu+ZZ7uvNbcAGbMAG0htwgpXejdfkycAhtHsbqKhbI09Xxt/zUmtsZqkSsR4wLL7Fe/Fl3+Z1cHxZlC9KWjRSNhQqINvEhV12GFPZ4mK4DG4BHTPX6M2Op4HuKKzKohFNiR4M6qfDBmzABmwgOgNOsKJz6ZayMKB6KdVNtQAlMnWN3mj9P0DTdRoBU2KmhEsJiZbVJzFh97ShdjXCNAiUxGnELKq4h4YuAPVjAkTRByVpq0HnnEk8yUbzQY9l2DWTHbyNDdiADdhAxgacYGWsyhtGaUAJhUZwFN1hNOgOutRYxQJNX2nkSncfKmbCQ6DkSo9ryGfoH4hG2QaAasYehvrGAzRwHpwPev5WFMkVzcTuJqzgVdOo/9aCOkJJqh5tIadn1bGdV9mADdiADeRmwAlWbt68VwQGVEv1C1gGZ4L+4E+CRCgJUB1UK1ACplgNl4JGlE6HhogmHGQWfBN0nn+CXOMP7KhETUnNXRD1P8BRtLkJaktWWVwd83inujbVbkV9DtUH8RsbsAEbKGMD/m0t4y+/GLqu6TclSotAU2aqSZoNigdBCYmK2PeCrVARf69lDRlNOdh90AdOg79AtqHHKGgk7FSYCZrujDra0+DloBq3d9I0/inLVXvVD9Qfhw3YgA3YQPQGdo6+SbdoA5kb0PSYpvp0IapwfUgc1Shp9ErPu0qMVKm26HHQ1GJLaOjYjQNqek+PRNB5/RUyjUVsqIJ81Z0pUVPClq/QHYnN4Po0B5C/12FMmvVebAM2YAM2UH8DTrDq79At1NNAG/afAhqtOhY0DacapfVwJygJU0IwHDTCpSSlUKHE5SHoDv3hedhRPM0GSsh6wxzYFfIZLWj8OlDt2KspB/ofn0fBuXAEOGzABmzABvJjwAlWfry61SwNaHRHSZWmt26CnjAMDoItoILw9qCaoULHnpzAw9AF+sKLkC7+xoqTQf1RYrY7NEQoEVWN2zUpB5vA5w2QqGlLWe2PNmADNmADERlwghWRSDdTfwN30IRqrS4CTb+NA4UKtp+BGaDkphiiOSfxKHSEE+EVSI2/s0AJWFfQ4xD2gIYKTWfeCPNAI2iKdaAE9RLoCA4bsAEbsIH8GXCClT+3bjlLA6qrUn2Q6qz0+AKFRodGgqYHVftUTKHz/SPsByfACkjEy7xR4nUwPAJKyBo6zuGAmgZUTZbuyFTCtROkjmqxyGEDNmADNhCxASdYEQt1c/UzoPoqTW/pkQ0vgaYND4ProRhjH05qIWjkrQ+sBNWLKeFqC0rAlIgVIvSPewwshl/DRLgaWoPDBmzABmwgvwaa5Ld5t24D2RvQNJYSk37wPjwLmvIq1tAIlkbdjoNjQTVjSqqUeCkBK2RoilKJn0YAlVhdBg4bsAEbsIH8G3CClX/HRXWEjz76KHY+rxTVWdU8GU1jVcAA0PTWUij2UA3Zd2AXmAZvxeGloPFdjv4EnAOpdxUW9MR8cBuwgcgNJH7bE7/1kR/ADWZswAlWxqpKY8OVK1fGOjKokXRHjzUQjS30CIdii0mckHDYgA2UvgH91vfu3bv0O1rEPdxpG1HE5+dTi9jA+vXrw2OPPRY6duwYmjVrFnHrbs4GbMAGbKCQBjRypeSqX79+oXVrV1wW8rtwglVI+z62DdiADdiADdhASRrQjUYOG7ABG7ABG7ABG7CBCA04wYpQppuyARuwARuwARuwARlwguXroCAGVqxYESvAPOyww8IxxxwTXnklce/L9qezatWq0KRJk9CjR4/QvXv32Oubb765/Ub+ZAMYyPSamj9/fujSpUvQtTdgwIDw4Ycf2p8N1Gogk2vKv1G1qvNCGVCRu8MGGtpAnz59ts2cOTN22Dlz5mw76qijaj0FijW3tWrVqtZ1XmgDyQYyuaZIprbtt99+25YvXx7bddiwYduGDx+e3Izf20C1gUyuKf9GVevymxQDLnJ3nt3gBtatWxc6d+4cNmzYEHbe+bNB1LZt24YlS5aETp06bXc++n+HRx55ZNi4ceN2y/3BBpINZHpNkcyHqVOnhgULFsR218hp3759w5o1a5Kb83sbCJleU/6N8sWSzoCnCNOZ8fK8GdAfMyVUieRKBzrwwAPD6tWraz3mpk2bAiNcoVevXmH06NEada11Oy8sXwOZXlO6xg466KBqUXpcybvvvhu2bt1avcxvbEAGMr2mtK1/o2TBkWrACVaqEX8uKgPt2rULb7/9dnjuuefCwoULw1NPPRXGjx9fVOfok7EBGyhfA/6NKt/vfkc9d4K1I0NeH4mBWbNmVRepK1Fau3btdqMGGlnQKFZqNG3atPpheS1btgwVFRWxJCt1O38ubwMdOnTI6JrSNaaHMCZCN0ykjqYm1vm1vA1kek35N6q8r5O6eu8Eqy47XheZgcGDB4dly5aFpUuXhhEjRsTuBlTSpVBdjH7MUuuvtE51EJs3b9bbUFVVFebOnRtL1GIL/D82EDfQpk2bjK6p/v37x65Ditxje06cODEMHDjQHm2ghoFMryn/RtVQ5wVxAy5y96VQEAP6AzdkyJDwwQcfhBYtWoRp06aFww8/PHYulZWVoX379mHo0KFh3rx5YeTIkbFHNSjR4q6eMG7cuKD/1+iwgWQDqdfU9OnTQ9euXUPy9aTt9ZgG7hwMW7ZsCd26dQszZswIzZs3T27K720gZiCTa8q/Ub5Y0hlwgpXOjJfbgA3YgA3YgA3YQI4GPEWYozjvZgM2YAM2YAM2YAPpDDjBSmfGy23ABmzABmzABmwgRwNOsHIU591swAZswAZswAZsIJ0BJ1jpzHi5DdiADdiADdiADeRowAlWjuK8mw3YgA3YgA3YgA2kM/B/ZkNgeJtHdkQAAAAASUVORK5CYII=",
      "text/plain": [
       "RGBA Images.Image with:\n",
       "  data: 600×400 Array{ColorTypes.RGBA{FixedPointNumbers.UFixed{UInt8,8}},2}\n",
       "  properties:\n",
       "    colorspace: RGB\n",
       "    imagedescription: <suppressed>\n",
       "    spatialorder:  x y\n",
       "    pixelspacing:  1 1"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "load(\"./figures/MC_example.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4 - Package Capabilities\n",
    "ConstructiveSolidGeometry.jl aims to provide geometry and ray tracing functionality which aims to enable scientific application developers to focus on science rather than geometry. Therefore, the goal of the package is to provide a clean interface for application developers to create a geometric system, allow them to associate their simulation data with the underlying geometry, and to perform ray tracing operations. Below is a summary of capabilities of the package. There is of course signficantly more functionality that is hidden behind the public interface, but the below functionality are items that are of interest to a user.\n",
    "\n",
    "### 4.1 - Geometry Building Functionality\n",
    "* Allows users to define surfaces such as `Plane`, `Sphere`, `Cone`, and `InfCylinder`.\n",
    "* Allows users to define various `Region` objects, which are the combination of a surface and a positive or negative halfspace.\n",
    "* Allows users to logically combine `Region` objects in order to construct a bounded volume known as a `Cell`, by way of a Julia expression. Logical operators are intersection (`^`), union (`|`), and complement (`~`).\n",
    "* Allows users to store an arbitrary number of `Cells` together into a top level `Geometry` object which can then be acted on by the ray tracing API.\n",
    "* Offers basic plotting functionality to ensure that a full `Geometry` or a specific `Cell` look as expected. This is important as it is easy for users to make mistakes using logical operators, so plotting is critical to ensure that the geometry is correct.\n",
    "\n",
    "### 4.2 - Ray Tracing \n",
    "* Allows users to create `Ray` objects, composed of an origin point and a direction vector.\n",
    "* Allows users to generate a randomized `Ray` in 3D space and direction inside of a bounding box.\n",
    "* Determine which cell a `Ray` object's origin is inside of. All cells in a `Geometry` have unique indices, so arbitray user data can be associated with each cell. This is an important aspect of the package that allows for a wide variety of different physics to be carried out using the API.\n",
    "* Determine where the nearest intersection location is for a `Ray` inside of a full `Geometry`.\n",
    "* Determine where the nearest intersection location is for a `Ray` given an array of `Region` objects. This is useful if an application developer is using an acceleration scheme (such as a lattice) to limit the number of surfaces that need to be checked for intersection.\n",
    "* Allows users to reflect a `Ray` with a `Plane`. This is necessary for enforcing reflective boundary conditions.\n",
    "* Track which boundary condition type is encountered at each intersection.\n",
    "* Move a ray forward through its next intersection.\n",
    "\n",
    "### 4.3 - Examples\n",
    "Numerous examples are given in the examples directory, showcasing how to use the package to build a geoemetry, ray trace in it, and even how to create a straw man Monte Carlo particle transport application."
   ]
  }
 ],
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